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Finding the Fourth Proportional to 12,385,533,602.90, 18,578,300,404.36 and 12,385,533,602.90

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Solution

The fourth proportional to 12,385,533,602.90, 18,578,300,404.36 and 12,385,533,602.90 is: 18,578,300,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385,533,602.90 : 18,578,300,404.36 = 12,385,533,602.90 : x
  2. Step 2: Convert to fraction form
    12,385,533,602.90/18,578,300,404.36 = 12,385,533,602.90/x
  3. Step 3: Cross multiply
    12,385,533,602.90x = 18,578,300,404.36 × 12,385,533,602.90
  4. Step 4: Simplify right side
    12,385,533,602.90x = 230,102,163,942,971,441,152
  5. Step 5: Solve for x
    x = 230,102,163,942,971,441,152/12,385,533,602.90
  6. Step 6: Final answer
    x = 18,578,300,404.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.